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We compute at strong coupling the large N correlation functions of supersymmetric Wilson loops in large representations of the gauge group with local operators of N=4 super Yang-Mills. The gauge theory computation of these correlators is…

High Energy Physics - Theory · Physics 2009-04-29 Jaume Gomis , Shunji Matsuura , Takuya Okuda , Diego Trancanelli

The four-time correlation function of a general dynamical variable obeying Gaussian statistics is calculated for the trap model with a Gaussian density of states. It is argued that for energy-independent variables this function is…

Statistical Mechanics · Physics 2015-06-11 Gregor Diezemann

We report on an exact calculation of lattice correlation functions on a finite four-dimensional lattice with either Euclidean or Minkowskian signature. The lattice correlation functions are calculated by the method of differential…

High Energy Physics - Theory · Physics 2023-07-12 Federico Gasparotto , Stefan Weinzierl , Xiaofeng Xu

We present microwave measurements for the density and spatial correlation of current critical points in an open billiard system, and compare them with the predictions of the Random Wave Model (RWM). In particular, due to a novel improvement…

Statistical Mechanics · Physics 2009-11-13 R. Höhmann , U. Kuhl , H. -J. Stöckmann , J. D. Urbina , M. Dennis

A general model-independent discussion of mesonic correlation functions is given. We derive new inequalities, including one stronger than Weingarten's inequality. Mesonic correlation functions are calculated in the random instanton vacuum…

High Energy Physics - Phenomenology · Physics 2009-10-22 E. V. Shuryak , J. J. M. Verbaarschot

Three-body distribution functions in classical fluids have been theoretically investigated many times, but have never been measured directly. We present experimental three-point correlation functions that are computed from particle…

Soft Condensed Matter · Physics 2009-11-10 Carsten Russ , Klaus Zahn , Hans-Hennig von Grunberg

This paper presents a comparison of the predictions for the 2 and 3-point correlation functions of density fluctuations, xi_2 and xi_3, in gravitational perturbation theory (PT) against large Cold Dark Matter (CDM) simulations. This…

Astrophysics · Physics 2009-11-07 J. Barriga , E. Gaztanaga

We determine the dynamical dimer correlation functions of quantum dimer models at the Rokhsar-Kivelson point on the bipartite square and cubic lattices and the non-bipartite triangular lattice. Based on an algorithmic idea by Henley, we…

Statistical Mechanics · Physics 2008-01-19 A. Laeuchli , S. Capponi , F. F. Assaad

In a computer experiment the choice of suitable estimators to measure a physical quantity plays an important role. We propose a new direct route to determine estimators for observables which do not commute with the Hamiltonian. Our new…

Statistical Mechanics · Physics 2013-07-11 Riccardo Fantoni

In this paper, we study a class of sphere and torus correlation functions in the W_N minimal model. In particular, we show that a large class of exact sphere three-point functions of W_N primaries, derived using affine Toda theory, exhibit…

High Energy Physics - Theory · Physics 2015-06-03 Chi-Ming Chang , Xi Yin

A variety of "pseudo-Voigt" functions, i.e. a linear combination of the Lorentz and Gauss function (occasionally augmented with a correction term), have been proposed as a closed-form approximation for the convolution of the Lorentz and…

Computational Physics · Physics 2020-10-21 Franz Schreier

I present a new improved estimator for the correlation function of 2D nonlinear sigma models. Numerical tests for the 2D XY model and the 2D O(3)-invariant vector model were performed. For small physical volume, i.e. a lattice size small…

High Energy Physics - Lattice · Physics 2010-12-01 Martin Hasenbusch

When performing cosmological inference, standard analyses of the Lyman-$\alpha$ (Ly$\alpha$) three-dimensional correlation functions only consider the information carried by the distinct peak produced by baryon acoustic oscillations (BAO).…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-14 Francesca Gerardi , Andrei Cuceu , Andreu Font-Ribera , Benjamin Joachimi , Pablo Lemos

Monte Carlo simulation has been performed in one-dimensional Lebwohl-Lasher model and two dimensional XY-model using the Wang-Landau and the Wang-Landau-Transition-Matrix Monte Carlo methods. Random walk has been performed in the…

Statistical Mechanics · Physics 2010-05-27 Shyamal Bhar , Soumen Kumar Roy

We calculate correlations between hadronic current operators as a function of their spatial separation, in a quenched lattice QCD simulation at $\beta=6.2$ on a $24^3\times48$ lattice. The lattice fermion formulation used is that due to…

High Energy Physics - Lattice · Physics 2007-05-23 UKQCD Collaboration , S. J. Hands , P. W. Stephenson , A. McKerrell

A recently developed numerical method for the calculation of derivatives of functions of general complex matrices, which can also be combined with implicit matrix function approximations such as Krylov-Ritz type algorithms, is presented. An…

High Energy Physics - Lattice · Physics 2016-11-02 M. Puhr , P. V. Buividovich

We consider the Widom--Rowlinson model in which hard balls of two possible colors are constrained to a hard-core repulsion between particles of different colors, in quenched random environments. These random environments model spatially…

Probability · Mathematics 2026-04-27 Benedikt Jahnel , Christof Külske , Alexander Zass

We compute analytically and in closed form the four-point correlation function in the plane, and the two-point correlation function in the upper half-plane, of layering vertex operators in the two dimensional conformally invariant system…

Mathematical Physics · Physics 2020-08-26 Federico Camia , Valentino F. Foit , Alberto Gandolfi , Matthew Kleban

We derive exact analytic results for several four-point correlation functions for statistical models exhibiting phase separation in two-dimensions. Our theoretical results are then specialized to the Ising model on the two-dimensional strip…

Statistical Mechanics · Physics 2021-10-27 Alessio Squarcini , Antonio Tinti

H. Widom derived formulae expressing correlation functions of orthogonal and symplectic ensembles of random matrices in terms of orthogonal polynomials (H. Widom. J. Stat. Phys. 94, (1999) 347-363). We obtain similar results for discrete…

Mathematical Physics · Physics 2009-11-13 Alexei Borodin , Eugene Strahov
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